Answered: (a) State the null hypothesis H, and… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

See similar textbooks

Related questions

Question

A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker
to worker, and the company decides to eliminate this effect by selecting 10 workers at random and timing each worker on each assembly process. Half of the
workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is
recorded, as shown in the table below.
Worker
1
2
5
6.
7
10
Process 1
51
42
56
61
32
85
67
56
78
79
Process 2
43
47
64
51
35
79
53
42
55
87
Difference
8
(Process 1 - Process 2)
-5
-8
10
-3
6.
14
14
23
-8
Send data to calculator
Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this
question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean difference in assembly times for the two
processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed.
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as
specified. (If necessary, consult a list of formulas.)
3.

(a) State the null hypothesis H and the alternative hypothesis H,.
Ho :0
S
H, :0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O#0
O<O
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
I and I
(e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes
differ?
O Yes O No

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A. Express the null hypothesis H0 and the alternative hypothesis Ha in notation form in the following scenarios. 1. The mean annual income of workers who are college graduates is greater than Php100,000 a year. 2. The percentage of women who watches sports on TV is not 40% as claimed by a researcher. 3. A random sample of 60 working students was taken in order to determine whether the average age of working students is different from 19 years.
A researcher claims that 45% of students drop out of college. He conducts a hypothesis test and fails to reject the null hypothesis. What type of error could have been committed here? A. Type I B. There are never errors in hypothesis testing C. Power of the test D. Type II
A test of the null hypothesis H0:μ =μ0 gives test statistic z= -0.33 what is the P-value if the alternative is Ha:μ >μ0?
(c.) Determine the null and alternative hypothesis for this test. (d.) Determine the P-value for this hypothesis test. (e.) Should the null hypothesis be rejected?
In an hypothesis test the decision was made to fail to reject the null hypothesis. The null hypothesis was later determined to be false. What kind of error, if any, was committed? Type I error Type II error No error
p </= alpha A) reject the null hypothesis B) accept the null hypotheses
When is a researcher at risk of making a Type II error? Group of answer choices: whenever H0 is rejected whenever H1 is rejected whenever H0 fails to be rejected The risk of a Type II error is independent of the decision from a hypothesis test.
A physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Identify the null and alternative hypotheses for a hypothesis test, where each difference is calculated by subtracting the measurement on the second meter from the measurement on the first meter. A. H0:μd=0 Ha:μd>0 B. H0:μd=0 Ha:μd≠0 C. H0:μd=0 Ha:μd<0 D. H0:μd≠0 Ha:μd=0
1. In hypothesis testing, the value against which a test statistic is compared to determine whether or not the null hypothesis is rejected. 2. Calculate the general t statistic if estimate is equal to 3, hypothesized value is equal to 2.5 and the standard error is equal to 0.4. 3. Calculate the general t statistic if estimate is equal to 2.3, hypothesized value is equal to 2 and the standard error is equal to 0.2. 4. Calculate the general t statistic if estimate is equal to 2.1, hypothesized value is equal to 0.75 and the standard error is equal to 0.5. 5. Calculate the general t statistic if estimate is equal to 1.6, hypothesized value is equal to 0.35 and the standard error is equal to 0.8. 6. Calculate the general t statistic if estimate is equal to 1.75, hypothesized value is equal to 1 and the standard error is equal to 0.6. 7. Calculate the general t statistic if estimate is equal to 2.5, hypothesized value is equal to 2.1 and the standard error is equal to 0.2. 8.…
When is a researcher at risk of making a Type II error? a. whenever H0 is rejected b. whenever H1 is rejected c. whenever H0 fails to be rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.
When is there a risk of a Type I error? a. The risk of a Type I error is independent from the decision about a hypothesis test b. whenever H0 is rejected c. whenever H1 is rejected d. whenever the decision is "do not reject H0"
a. Identify the null and alternative hypotheses for this test. Choose the correct answer below. b. Identify the test statistic for this hypothesis test. c. The P-value for this hypothesis test is d. Identify the conclusion for this hypothesis test.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS